STRANGE MESON DECAY IN THE C³P₀ MODEL

Abstract

The successful mapping technique (Fock–Tani formalism) has produced a corrected 3P0 model ( C 3P0 model), which retains the basic aspects of the 3P0 predictions with the inclusion of bound-state corrections. In this work we have evaluated the decay amplitude of a strange quarkonia candidate, namely ϕ(1020). A comparison is made with the non-corrected model.

Angular momentum coefficients for meson strong decay and unquenched quark models

“…Additional tables are supplied for hybrid meson transitions not already covered by the above. In the event that other ξs are required, these can be computed straightforwardly using equation (79). More generally, for numerical calculations of a large number of transitions, it would be more practical to use the general expression than to extract coefficients individually from the tables.…”

“…[4] noted that the ratio is associated with the absence of a spin-flip component in the amplitude, and the formalism of this paper confirms this observation: it can now be seen to be a generic feature common to all non-flip, triplet models. Thus one can see deviations from the above ratio in the expressions of references [78,79,110], which are not non-flip, triplet models. The current PDG averages [179] for the ratios,…”

“…On the other hand there are some variants of the 3 P 0 model which do not have this structure. The "corrected" 3 P 0 model [78,79] differs by including corrections associated with the bound state nature of the mesons. The operator creates a 3 P 0 qq pair, but since the bound state corrections are sensitive to the spin degrees of freedom of the initial and final states, the angular-momentum dependence of the matrix elements differs from that of other 3 P 0 models.…”

“…in which the ξ coefficient is given by the usual expression (79), and the quantum numbers |Λ| and P describing the flux tubes enter only into the spatial part A.…”

“…probes directly the ratio of spatial matrix elements for the L + 1 and L − 1 partial waves at the given decay momentum p. Since the spatial matrix elements contain all of the model dependence, this ratio allows the different models to be compared directly. Historically, such ratios have been useful in discriminating among different decay models [4, 79,87,110]. For example, for the transitions a 1 → ρπ and b 1 → ωπ, with matrix elements M and M ′ respectively, the ratios can obtained from Table III,…”